LCM of 839, 758, 836, 240, 950
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 839, 758, 836, 240, 950 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 839, 758, 836, 240, 950. So, keep reading to learn more.
Given numbers are 839,758,836,240,950
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 839,758,836,240,950 is 79749634800.
Find LCM of 839,758,836,240,950 with Prime Factorization
| 2 | 839, 758, 836, 240, 950 |
| 2 | 839, 379, 418, 120, 475 |
| 5 | 839, 379, 209, 60, 475 |
| 19 | 839, 379, 209, 12, 95 |
| 839, 379, 11, 12, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 19 x 839 x 379 x 11 x 12 x 5 = 79749634800
Therefore, the lowest common multiple of 839,758,836,240,950 is 79749634800.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
839 x 758 x 836 x 240 x 950 = 121219444896000
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
839 : 1, 839
758 : 1, 2, 379, 758
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 839,758,836,240,950, is 1.
Now, the common factors can be found like this.
839:839
758:2x 379
836:2x 2x 11x 19
240:2x 2x 2x 2x 3x 5
950:2x 5x 5x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 5x 19 = 1520
Therefore, the value for common factors is 1520.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 121219444896000/(1x1520)
LCM = 121219444896000/1520
LCM = 79749634800
Thus, we can understand that the LCM of 839,758,836,240,950 is 79749634800.
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FAQs on LCM of 839, 758, 836, 240, 950
1. What is the LCM of 839, 758, 836, 240, 950?
Answer: LCM of 839, 758, 836, 240, 950 is 79749634800.
2. How to calculate the LCM of 839, 758, 836, 240, 950?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 839, 758, 836, 240, 950.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.